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arXiv · 2108.12685

The Krein-von Neumann Extension of a Regular Even Order Quasi-Differential Operator

Minsung Cho·Seth Hoisington·Roger Nichols·Brian Udall
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Abstract

We characterize by boundary conditions the Krein-von Neumann extension of a strictly positive minimal operator corresponding to a regular even order quasi-differential expression of Shin-Zettl type. The characterization is stated in terms of a specially chosen basis for the kernel of the maximal operator and employs a description of the Friedrichs extension due to M\"oller and Zettl.

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Minsung Cho, Seth Hoisington, Roger Nichols, Brian Udall. 2021-08-28. The Krein-von Neumann Extension of a Regular Even Order Quasi-Differential Operator. https://arxiv.org/abs/2108.12685

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